On E. E. Levi's method of constructing a fundamental solution for second- order elliptic equations

DOI10.1007/BF02844669zbMath0818.35022MaRDI QIDQ1202752

Hubert Kalf

Publication date: 3 February 1993

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

zbMATH Keywords

surveyHölder continuityfundamental solution for small domains

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Fundamental solutions to PDEs (35A08) Second-order elliptic equations (35J15)

Related Items

Fundamental solutions for sum of squares of vector fields operators with C1,α coefficients ⋮ Fundamental solutions for non-divergence form operators on stratified groups ⋮ Discrete Hölder estimates for a parametrix variation ⋮ Hölder stability for a semilinear elliptic inverse problem ⋮ Stable determination of the nonlinear term in a quasilinear elliptic equation by boundary measurements ⋮ Fundamental solutions and local solvability for nonsmooth Hörmander’s operators ⋮ Comments on the determination of the conductivity by boundary measurements ⋮ Fundamental solutions of a class of first-order linear elliptic systems ⋮ Lipschitz and Hölder stable determination of nonlinear terms for elliptic equations

Cites Work

• An elementary proof of Harnack's inequality for Schrödinger operators and related topics
• Hörmander inequality for elliptic equations with nonsmooth coefficients
• Zur Regularität schwacher Lösungen für elliptische Systeme partieller Differentialoperatoren
• Harnack's Inequality for Schrodinger Operators and the Continuity of Solutions
• Unique continuation for elliptic operators: A geometric-variational approach
• On the point spectrum of Schrödinger operators
• Équations à intégrales principales; étude suivie d'une application
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